 The study presents a simple approach to enhance the interaction between light and matter in a driven cavity by controllably decoupling a qubit from the cavity's photon population, effectively cloaking the qubit from the cavity, which can be exploited to cancel the AC stark shift and measurement-induced defacing, accelerate qubit readout, and perform qubit logical operations and prepare non-classical cavity states in circuit QED and other cavity-based setups. This article was authored by Cristobal Lado, Remy Dessenville, Adrian Molinas, and others.